# Shape of curved spacetime?

Can the shape of curved space time under influence of mass be closely modelled by any function?

Like, without getting into tensors and Euclidean/non-euclidean geometry, can I make a function (in one dimension), something of the form $$y=ax^n+...$$ to closely tell the curvature of space time?

• Other than something like $R^{abcd}R_{abcd}$? – Jerry Schirmer Jun 23 at 19:21
• The Kretschmann scalar for a Schwarzschild metric has a simple $1/r^6$ dependence. – G. Smith Jun 23 at 19:32